Higher order Kantorovich-type Szász–Mirakjan operators

Abstract

Abstract In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, we give some approximation properties of these operators in terms of various moduli of continuity. We prove a local approximation theorem, a Korovkin-type theorem, and a Voronovskaja-type theorem. We also prove weighted approximation theorems for these new operators.

Keywords

• Modulus of continuity
• Higher order approximation
• Szász–Mirakjan operators
• Kantorovich operators
• Voronovskaja-type theorem